Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds

被引：1
|
作者：
Bayrakdar, Tuna [1 ]
Ergin, Abdullah Aziz [1 ]
机构：
[1] Akdeniz Univ, Dept Math, Fac Sci, Antalya, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 05期
关键词：
Bi-Hamiltonian structure; Poisson structure; Cartan's method of equivalence; intransitive structure equations; Maurer-Cartan equations; ORDER LAGRANGIANS; INTEGRABILITY; SYSTEMS;
D O I：
10.3906/mat-1708-33
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds via Cartan's method of equivalence. The problem separates into two branches on total space, one of which ends up with the intransitive involutive structure equations. For the transitive case, we obtain an {e}-structure on both total and base spaces.
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页码：2452 / 2465
页数：14
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